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2334316320 = 253757953
BaseRepresentation
bin1000101100100010…
…1101011100100000
320000200102120000000
42023020231130200
514240041110240
61023344300000
7111563234640
oct21310553440
96020376000
102334316320
11a9872a446
12551911600
132b27cb97b
14182042520
15d9dee430
hex8b22d720

2334316320 has 384 divisors, whose sum is σ = 9462458880. Its totient is φ = 532998144.

The previous prime is 2334316301. The next prime is 2334316333. The reversal of 2334316320 is 236134332.

It is a happy number.

2334316320 is a `hidden beast` number, since 2 + 334 + 3 + 1 + 6 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2448964 + ... + 2449916.

It is an arithmetic number, because the mean of its divisors is an integer number (24641820).

Almost surely, 22334316320 is an apocalyptic number.

2334316320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731229440).

2334316320 is an abundant number, since it is smaller than the sum of its proper divisors (7128142560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2334316320 is an frugal number, since it uses more digits than its factorization.

2334316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 2334316320 is about 48314.7629612316. The cubic root of 2334316320 is about 1326.5386317298.

The spelling of 2334316320 in words is "two billion, three hundred thirty-four million, three hundred sixteen thousand, three hundred twenty".